Answer:
130 m/s
Step-by-step explanation:
Recall that the horizontal and vertical components of a vector are perpendicular to each other, and therefore can be considered as the sides of a right angle triangle of which the "hypotenuse" is the actual vector.
We can therefore use the Pythagorean theorem to find the magnitude of that vector (the length of the hypotenuse), given its components (given the perpendicular sides of the right triangle):
![hypotenuse= √(50^2+120^2) =√(2500+14400) =√(16900) =130\,(m)/(s)](https://img.qammunity.org/2020/formulas/physics/middle-school/whipqq03n702r1qq0jra3balnvsg4agt82.png)
Notice also that both components of the velocity were given in the same units (m/s) and therefore the final answer is also in m/s.